Elliptic curves over $\Q$ of conductor 196

Results (4 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
196.a1	196a2	196.a	196a	$2$	$3$	\( 2^{2} \cdot 7^{2} \)	\( 2^{4} \cdot 7^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	2.2.0.1, 9.12.0.2	2Cn, 3B	$252$	$864$	$28$	$0.258106352$	$1$		$4$	$18$	$-0.205035$	$406749952$	$0.99897$	$5.01848$	$[0, -1, 0, -142, 701]$	\(y^2=x^3-x^2-142x+701\)	2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 9.12.0.b.1, 12.16.0.a.1, $\ldots$	$[(7, 1)]$
196.a2	196a1	196.a	196a	$2$	$3$	\( 2^{2} \cdot 7^{2} \)	\( 2^{4} \cdot 7^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	2.2.0.1, 9.12.0.2	2Cn, 3B	$252$	$864$	$28$	$0.086035450$	$1$		$8$	$6$	$-0.754341$	$1792$	$0.89152$	$2.68192$	$[0, -1, 0, -2, 1]$	\(y^2=x^3-x^2-2x+1\)	2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 9.12.0.b.1, 12.16.0.a.2, $\ldots$	$[(0, 1)]$
196.b1	196b2	196.b	196b	$2$	$3$	\( 2^{2} \cdot 7^{2} \)	\( 2^{4} \cdot 7^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	4.4.0.2, 9.24.0.4	2Cn, 3B.1.2	$252$	$864$	$28$	$1$	$1$		$0$	$126$	$0.767920$	$406749952$	$0.99897$	$7.23053$	$[0, 1, 0, -6974, -226507]$	\(y^2=x^3+x^2-6974x-226507\)	2.2.0.a.1, 3.8.0-3.a.1.1, 4.4.0-2.a.1.1, 6.16.0-6.a.1.1, 9.24.0-9.b.1.1, $\ldots$	$[]$
196.b2	196b1	196.b	196b	$2$	$3$	\( 2^{2} \cdot 7^{2} \)	\( 2^{4} \cdot 7^{8} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	4.4.0.2, 9.24.0.2	2Cn, 3B.1.1	$252$	$864$	$28$	$1$	$1$		$2$	$42$	$0.218614$	$1792$	$0.89152$	$4.89397$	$[0, 1, 0, -114, -127]$	\(y^2=x^3+x^2-114x-127\)	2.2.0.a.1, 3.8.0-3.a.1.2, 4.4.0-2.a.1.1, 6.16.0-6.a.1.2, 9.24.0-9.b.1.2, $\ldots$	$[]$